Let A=[a_ ij ] and B=[b_ ij ] be two 3 3 real matrices such that b_ ij =(3)^ (i+j-2) a_ ji , where i, j = 1,...

Question

Let A=[a_ ij ] and B=[b_ ij ] be two 3 3 real matrices such that b_ ij =(3)^ (i+j-2) a_ ji , where i, j = 1, 2, 3. If the determinant of B is 81, then the determinant of A is:

Accepted Answer

(B)

JEE Main 2020 Mathematics question

Solution